Exercise #11: Remainder and Factor Theorem

When

 $2x^4-5x^3+7x^2+3x+4$  is divided by x - 2, the remainder is _______. 

When

 $6x^3-7x^2+9x+15$  is divided by 3x+1, the remainder is _______. 

The remainder is -2 when

 $-2x^5+4x^4-kx^2+7x+2$    is divided by x+1. What is the value of k?

k = _____

 Is 2x - 3 a factor of$4x^4-2x^3-8x^2+5x-7$ ? If it is, input YES. If it is not then input the remainder.
Answer: _______

The remainder is -31 when $-3x^4-mx^3+8x-15$  is divided by x - 2. What is the value of m?

m = _______

What is the remainder when $x^3+7x^2+9x+1$  is divided by x + 3?

R = _____

Is x - 5 a factor of $x^4-8x^3+13x^2+7x+15$ ? If it is, input YES. If it is not then input the remainder.
Answer: _______

What is b so that x - 3 is a factor of $x^4-2x^3+x^2-bx-12$  ?

b = _____

What is c so that x + 2 is a factor of $3x^3+cx^2-3x-2$ ?

c = _____

What is the remainder when $x^4-14x^2+10x+8$  is divided by x + 4?

R = _____